BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Elena Pulvirenti (TU Delft\, Netherlands) DTSTART:20211206T090000Z DTEND:20211206T094500Z DTSTAMP:20260423T100134Z UID:BPS/42 DESCRIPTION:Title: Met astability for the dilute Curie-Weiss model with Glauber dynamics\nby Elena Pulvirenti (TU Delft\, Netherlands) as part of Bangalore Probability Seminar\n\n\nAbstract\nSystems subject to a random dynamics exhibit metas tability when they persist for a very long time in a phase (called metasta ble state) that is different from the one corresponding to the thermodynam ic equilibrium (called stable state). \n\nIn this talk I will analyse the metastable behaviour of the dilute Curie–Weiss model\, a classical model of a disordered ferromagnet\, subject to a Glauber dynamics. The equilibr ium model is a random version of a mean-field Ising model\, where the coup ling coefficients are replaced by i.i.d. random coefficients\, e.g. Bernou lli random variables with fixed parameter p. This model can be also viewed as an Ising model on the Erdos–Renyi random graph with edge probability p.\n\nUnder the Glauber dynamics the system is a Markov chain where spins flip according to a Metropolis dynamics at inverse temperature \\beta. \n \nI will show how to compute the average time the system takes to reach th e stable phase when it starts from a certain probability distribution on t he metastable state (called the last-exit biased distribution)\, in the re gime where the system size goes to infinity\, \\beta is larger than 1 and the magnetic field is positive and small enough. I will explain how to obt ain asymptotic bounds on the probability of the event that the mean metast able hitting time is approximated by that of the Curie–Weiss model.\n\nT he proof uses the potential theoretic approach to metastability and concen tration\n\nof measure inequalities. This is a joint collaboration with Ant on Bovier (Bonn) and \n\nSaeda Marello (Bonn).\n LOCATION:https://researchseminars.org/talk/BPS/42/ END:VEVENT END:VCALENDAR